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Diskretnaya Matematika, 2015, Volume 27, Issue 2, Pages 45–55
DOI: https://doi.org/10.4213/dm1324 (Mi dm1324) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Estimates for distribution of the minimal distance of a random linear code

V. A. Kopyttseva, V. G. Mikhailovb

a Academy of Criptography of Russia
b Steklov Mathematical Institute of RAS
Full-text PDF (407 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm1324
Abstract: The distribution function of the minimum distance (the minimum weight of nonzero codewords) of a random linear code over a finite field is studied. Expicit bounds in the form of inequalities and asymptotic estimates for this distribution function are obtained.
Keywords: minimum distance of a linear code, explicit estimates of distribution functions, asymptotic estimates of distribution functions.
Received: 11.03.2015
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 4, Pages 203–211
DOI: https://doi.org/10.1515/dma-2016-0018
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. A. Kopyttsev, V. G. Mikhailov, “Estimates for distribution of the minimal distance of a random linear code”, Diskr. Mat., 27:2 (2015), 45–55; Discrete Math. Appl., 26:4 (2016), 203–211
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    Full-text PDF :144
    References:47
    First page:36
     
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